$\"\"$

The system of equations are $\"\"$ and $\"\"$ .

Solve the system of equations by elimination method.

Step 1:

Multiply each equation with a suitable multiplier.

Case (i):

$\"\"$ (First equation)

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Multiply)

Case (ii):

$\"\"$ (Second equation)

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Multiply)

Step 2:

Add the equations to eliminate the one variable.

$\"\"$

As $\"\"$ is true, the system has infinite solutions.

$\"\"$

The system has infinite solutions.